On controllability problems for the wave equation on a half-plane

  • L. V. Fardigola Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
    B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine

Анотація

Necessary and sufficient conditions for null-controllability and approximate null-controllability are obtained for the wave equation on a half-plane. Controls solving these problems are found explicitly. Moreover bang-bang controls solving the approximate null-controllability problem are constructed with the aid of the Markov power moment problem.

Mathematics Subject Classification: 93B05, 35B37, 35L05.

Ключові слова:

wave equation, control problem

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Як цитувати

(1)
L. V. Fardigola, On controllability problems for the wave equation on a half-plane, Журн. мат. фіз. анал. геом. 1 (2005), 93-115.

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Том 1 № 1 (2005)

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